Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules
We study two-dimensional critical bootstrap percolation models. We establish that a class of these models including all isotropic threshold rules with a convex symmetric neighbourhood, undergoes a sharp metastability transition. This extends previous instances proved for several specific rules. The paper supersedes a draft by Alexander Holroyd and the first author from 2012. While it served a role in the subsequent development of bootstrap percolation universality, we have chosen to adopt a more contemporary viewpoint in its present form.
Authors
- Ivailo Hartarsky (ORCID: https://orcid.org/0000-0002-7480-1500)
- Hugo Duminil‐Copin (ORCID: https://orcid.org/0000-0002-7609-2816)
Institutions
- University of Geneva (CH)
- Statistics Austria (AT)
- TU Wien (AT)
- Institut des Hautes Études Scientifiques (FR)
Publication Details
- Journal
- Probability Theory and Related Fields
- Published
- 2024-08-21
- DOI
- https://doi.org/10.1007/s00440-024-01310-3
- Citations
- 3
- Primary Topic
- Stochastic processes and statistical mechanics
- Type
- article
- Field-Weighted Citation Impact
- 0.89
Funders
- National Centres of Competence in Research SwissMAP
- European Commission
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Austrian Science Fund
- HORIZON EUROPE European Research Council